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arXiv · 1407.3093

On the ring of inertial endomorphisms of an abelian group

Ulderico Dardano·Silvana Rinauro
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Abstract

An endomorphisms $\varphi$ of an abelian group $A$ is said inertial if each subgroup $H$ of $A$ has finite index in $H+\varphi (H)$. We study the ring of inertial endomorphisms of an abelian group. Here we obtain a satisfactory description modulo the ideal of finitary endomorphisms. Also the corresponding problem for vector spaces is considered. For the characterization of inertial endomorphisms of an abelian group see arXiv:1310.4625 . The group of invertible inertial endomorphisms has been studied in arXiv:1403.4193 .

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Ulderico Dardano, Silvana Rinauro. 2014-07-11. On the ring of inertial endomorphisms of an abelian group. https://arxiv.org/abs/1407.3093

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